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Finding the Third Proportional to 126,116 and 267,603

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Solution

The third proportional to 126,116 and 267,603 is: 567,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,116 : 267,603 = 267,603 : x
  2. Step 2: Convert to fraction form
    126,116/267,603 = 267,603/x
  3. Step 3: Cross multiply
    126,116x = 267,603 × 267,603
  4. Step 4: Simplify right side
    126,116x = 71,611,365,609
  5. Step 5: Solve for x
    x = 71,611,365,609/126,116
  6. Step 6: Final answer
    x = 567,821.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.